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Finding the Fourth Proportional to 502.73, 692.34 and 436.31

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Solution

The fourth proportional to 502.73, 692.34 and 436.31 is: 600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.73 : 692.34 = 436.31 : x
  2. Step 2: Convert to fraction form
    502.73/692.34 = 436.31/x
  3. Step 3: Cross multiply
    502.73x = 692.34 × 436.31
  4. Step 4: Simplify right side
    502.73x = 302,074.87
  5. Step 5: Solve for x
    x = 302,074.87/502.73
  6. Step 6: Final answer
    x = 600.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.